One container of ice cream holds 9 scoops of ice cream. One package of ice cream cones has 12 cones. We want to make the fewest number of cones, with one scoop of ice cream on each cone and no ice cream or cones left over. How many containers of ice cream and packages of cones should be purchased? How many ice cream cones will we be able to make? The fewest number of ice cream cones we will be able to make is . We need to purchase containers of ice cream and packages of ice cream cones.

Answer:

4x(x+5)

Step-by-step explanation:

factor out the 4x out of the 4x^2

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{13}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{3}}} \implies \cfrac{ -8 }{ 12 } \implies - \cfrac{2}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-13=- \cfrac{2}{3}x+2\implies {\Large \begin{array}{llll} y=- \cfrac{2}{3}x+15 \end{array}}\)

Answer:

Step-by-step explanation:

Given

A concession stand at a football game sells hamburgers and boxes of candy. Jeremy buys a total of 16 items. The number of candy boxes he buys is four less than three times as many hamburgers.

To find which system of equations models this situation if he bought h hamburgers and c boxes of candy.

Now,

It is given that, Jeremy bought 16 items.

Since he bought h hamburgers and c boxes of candy.

Also, if the number of candy boxes he buys is four less than three times as many hamburgers.

Then,

Therefore, the system of equation which models the given situation is

Hence, the system of equation which models the given situation is h+c=16 and 3h-4=c.

The compound interest formula is :

where A is the amount in the account, P is the principal, r is the interest rate, t is time, and n is the number of times interest is compounded per time 't'. The variables are A and t, that is, P, r, and n are known. Given that t is on the exponent then the relationship represents an exponential growth. Therefore, the correct answer is:

D. The amount in an account results from 10% interest on $1,000 compounded annually for 5 years

The distance between the point is 7.

Distance between two points is the length of the line segment that connects the two given points. To calculate the distance between the two points, use use the formula of the length of the line joining the pointa.

Formula:

Where:

Substitute these values into equation 1

Hence, the distance between the point is 7.

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the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:

(6x - 7)² = (6x - 7)(6x - 7)

Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:

(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)

Simplifying each term:

= 36x² - 42x - 42x + 49

= 36x² - 84x + 49

Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

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Answer: 2 solutions

Step-by-step explanation:

To find the angle of a regular polygon, use the formula 180(n-2)/n (where n is the amount of sides.)

Setting them equal, we get (180n-360)/n = 1680.

Multiplying by n on both sides, we get 180n-360 = 1680n.

Solving, we get 1500n = 360.

n = 0.24, which means it is not a shape, as you cannot have a shape with 0.24 sides.

The other way to look at it is to take full revolutions of 360 away from each angle, giving us 240 (the smallest remainder without it going negative). However, all the angles would be concave. If all the angles are concave, then it might connect backwards.

Subtracting 240 from 360 (to get the "exterior" angles, we get 120. Plugging it in to our equation 180(n-2)/n and solving, we get 180n-360 = 120n, and solving gives us 60n = 360, or n=6.

Since the amount of sides came together cleanly, we can classify this polygon as a normal hexagon, which has 6 sides.

Part one :-

In this part we will find area of small rectangle that is white in colour.

Given :-

To find :-

We know :-

Part two :-

In this part we will find are of big rectangle

Given :-

To find :-

We know :-

Part 3:-

Answer:

40 Cookie

Step-by-step explanation:

15 divided by 3 is 5 so per every one scoop of flour its 5 cookies so multiply 8 by 5 and you would get 40 cookies

Answer:

Step-by-step explanation:

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

80 x by the power of 5 and y is by the power of 3

Answer:

80x⁵y³

Step-by-step explanation:

5x³y(-4xy)²

=5x³y*16x²y²

=80x⁵y³.

Answer:

4 out of 100 i think

Answer:

u should ask a teacher

Step-by-step explanation:

they wouldn't get mad but happy asked

Home prices are probably skewed to the right and not symmetric. So the correct option would be A.

This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.

Reporting the mean would give the impression that the​ "typical" home price is higher than it is.

they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.

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The graph of exponential function, is described below.

What is an exponential function?

The mathematical formula f(x) = e^x stands for the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

The formula for an exponential growth function is y = ab^x, where a > 0 and b > 1. As can be seen in the example of f(x) = 2x below, the graph will ascend. The numbers get smaller as x gets closer to negative infinity, as you can see.

If b > 1 , then the graph's slope is positive and exponential growth is depicted. The value of y approaches infinity as x rises. The value of y approaches zero as x falls.

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The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Answer:

The correct option is;

This statement is true

Step-by-step explanation:

The given transformation are;

1) Vertical translation, y units down

2) Horizontal translation x units right

Therefore, the equivalent transformation is \(T_{(x, -y)}\)

Whereby the coordinates of the of the point on the preimage with the largest y-coordinates are  (a, b), we have;

The coordinate of the corresponding point on the image = (a + x, b - y)

Given that the value of b is larger than the the y-coordinates values of al the points on the preimage, therefore, the value of b - y, will be the largest of the y-coordinates values on the image

The smallest possible value of n is 20 that is minium 20 people's can seated according to given condition on a circlar table which has 60 chairs for sitting .

We have given that

total avaliabile chair on circular table = 60

let number of seating persons be N .

"If every third seat is occupied, filling 20 seats, then every unoccupied seat has a person seating next to it, so N could be 20. To see that N must be at least 20, note that any seating which satisfies the conditions cannot contain a gap of more than 2 unoccupied seats between any occupied seats. If we regard adjacent occupied seats as having a gap of 0 between them, every seating of N people contains N gaps, all of which must be less than 2. Thus N+2N = 3N is at least as big as the sum of N and all the which is 60, therefore 3N ≥ 60 and N ≥ 20.

Hence, smallest possible value of N is 20.

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Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

Answer:  75

Step-by-step explanation:

5a = 5(15) = 75

The surface area obtained by rotating about the y -axis is 168.159.

In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.

We have the function y=1+5x² from x=0 to x=2 about the y -axis.

So, the Surface are is

S = 2π ∫ R(x) √ (1+ f'(x)²}

Then, f'(x) = 10x

Then, S = 2π ∫ R(x) √ (1+ f'(x)²}

= 2π ∫ (1+5x²) √ (1+100x²)

= 1/150 (401 (√401-1)) π

= 168.159

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Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

Answer:

3x - 18

Step-by-step explanation:

The parallel sides in this regular pentagonal prism are

CD || HE and AB || HC.

We are given a pentagonal prism which is a regular one. We have to tell which lines are parallel lines in the given regular pentagonal prism. The pentagonal prism ABCDEFG can be seen in the image below.

If we observe this figure carefully, we will see that there are two rectangular faces present in this regular pentagonal prism. The rectangular faces present in this figure are ABCH and HCDE. We know that the opposite sides of a rectangle are always parallel.

In rectangle ABCH, AB is parallel to CH. In rectangle HCDE, HE is parallel to CD. Therefore, the parallel sides in this regular pentagonal prism are

CD || HE and AB || HC.

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The area of the polygon is 25.5 square units

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

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The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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